Abstract
The primary objective of the project is to study the non-matrix varieties of Lie and left symmetric algebras and contribute to the (positive or negative) resolution of the problem of their solvability (Lie-solvability). (AU)
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Ivan Chestakov
CV Lattes
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Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME) (Institutional affiliation from the last research proposal) Birthplace: Brazil
master's at Matemática from Novosibirsk State University (1970) and ph.d. at Matemática from Sobolev Institute Of Mathematics (1973). Has experience in Mathematics, acting on the following subjects: superálgebra de jordan, superálgebra alternativa, álgebra de jordan, sabinin algebra and deformação quântica. (Source: Lattes Curriculum)
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Research grants
- Nonmatrix varieties of Lie algebras, AV.EXT
- On curves parametrizable by polynomials, AV.EXT
Abstract
We plan to work on the questions related to the rationality of the plane curve given by P(x,y) = 0where P is a polynomial in two variables over a field of characteristic zero. (AU)
- Bimodules over semisimple algebras in some classes of right alternative algebras, AV.EXT
Abstract
The bimodules over semisimple algebras in some classes of right alternative algebras will be considered, with possible applications to classification problem of right alternative superalgebras. (AU)
(Only some records are available in English at this moment)
Scholarships in Brazil
- Specht property and graded polynomial identities for some non-associative algebras, BP.PD
Abstract
This project has the following goals: describe the graded polynomial identities of some non-associative algebras and study the Specht property of the varieties genarated by these graded algebras.Consider $G$ a finite group and $F$ infinite field. The project can be divided in three problemsa) Describe the $G$-graded identities of the Lie algebra of $3\times 3$ upper triangular matrizes…
- Graded polynomial identities and identity with trace, and invariant theory, BP.PD
Abstract
The main object of study of this research project is the theory of polynomial identities for some important algebras (not necessarily associative). We are interested in algebras endowed with a particular linear map called trace. In the first section we shall give a background concerning the theory of the polynomial identities for algebras. In the second one, which contains the project it…
- Research on Hecke-Grothendieck polynomials, metabelian Novikov algebras, Generic Poisson algebras and Novikov-Poisson algebras, BP.PD
Abstract
The aim of this project is to do research on Hecke-Grothendieck polynomials, metabelian Novikov algebras, Generic Poisson algebras and Novikov-Poisson algebras. More precisely, we shall show that the Hecke-Grothendieck polynomials have nonnegative coefficients under certain assumptions; every finitely generated metabelian Novikov algebra has solvable word problem; we shall establish Compo…
- The structure problems of Zinbiel-Lie and Novikov-Jordan algebras, BP.PD
Abstract
The reserach project is concentrated in studing commutator algebras of Zinbiel Algebras (Lie-Zinbiel Algebras) and anti-commutator algebras of Novikov Algebras (Jordan-Novikov Algebras). We are interested in investigating identities for these Algebras and in studing of their homomorphic images. In case of Jordan-Novikov Algebras we want to determine whether this class forms a variety. Mor…
(Only some records are available in English at this moment)
Total / Available in English
| 62 / 49 | Completed research grants |
| 1 / 1 | Ongoing scholarships in Brazil |
| 21 / 12 | Completed scholarships in Brazil |
| 1 / 0 | Completed scholarships abroad |
| 85 / 62 | All research grants and scholarships |
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